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In the current research of neural networks, the activation function is manually specified by human and not able to change themselves during training. This paper focus on how to make the activation function trainable for deep neural…

计算机视觉与模式识别 · 计算机科学 2020-06-08 Zhaohe Liao

Activation function has a significant impact on the dynamics, convergence, and performance of deep neural networks. The search for a consistent and high-performing activation function has always been a pursuit during deep learning model…

计算机视觉与模式识别 · 计算机科学 2024-09-17 Abdur Rahman , Lu He , Haifeng Wang

The choice of activation functions in deep networks has a significant effect on the training dynamics and task performance. Currently, the most successful and widely-used activation function is the Rectified Linear Unit (ReLU). Although…

神经与进化计算 · 计算机科学 2017-10-30 Prajit Ramachandran , Barret Zoph , Quoc V. Le

Neural networks have shown tremendous growth in recent years to solve numerous problems. Various types of neural networks have been introduced to deal with different types of problems. However, the main goal of any neural network is to…

机器学习 · 计算机科学 2022-06-29 Shiv Ram Dubey , Satish Kumar Singh , Bidyut Baran Chaudhuri

Recently, neural networks have been widely applied in the power system area. They can be used for better predicting input information and modeling system performance with increased accuracy. In some applications such as battery degradation…

机器学习 · 计算机科学 2025-05-27 Cunzhi Zhao , Fan Jiang , Xingpeng Li

The training process of neural networks usually optimize weights and bias parameters of linear transformations, while nonlinear activation functions are pre-specified and fixed. This work develops a systematic approach to constructing…

机器学习 · 计算机科学 2024-10-29 Zhengqi Liu , Shuhao Cao , Yuwen Li , Ludmil Zikatanov

We propose the Moderate Adaptive Linear Unit (MoLU), a novel activation function for deep neural networks, defined analytically as: f(x)=x \times (1+tanh(x))/2. MoLU combines mathematical elegance with empirical effectiveness, exhibiting…

机器学习 · 计算机科学 2025-07-16 Hankyul Koh , Joon-hyuk Ko , Wonho Jhe

The choice of activation function in deep networks has a significant effect on the training dynamics and task performance. At present, the most effective and widely-used activation function is ReLU. However, because of the non-zero mean,…

计算机视觉与模式识别 · 计算机科学 2020-03-03 Yuan Zhou , Dandan Li , Shuwei Huo , Sun-Yuan Kung

Deep neural networks are known to be vulnerable to adversarially perturbed inputs. A commonly used defense is adversarial training, whose performance is influenced by model capacity. While previous works have studied the impact of varying…

机器学习 · 计算机科学 2021-10-13 Sihui Dai , Saeed Mahloujifar , Prateek Mittal

This document proposes a parametric activation function (ac.f.) aimed at improving multidimensional nonlinear data regression. It is a established knowledge that nonlinear ac.f's are required for learning nonlinear datasets. This work shows…

机器学习 · 计算机科学 2025-10-03 Enda D. V. Bigarella

`Biologically inspired' activation functions, such as the logistic sigmoid, have been instrumental in the historical advancement of machine learning. However in the field of deep learning, they have been largely displaced by rectified…

神经与进化计算 · 计算机科学 2018-05-21 Gardave S Bhumbra

We propose \textbf{ULU}, a novel non-monotonic, piecewise activation function defined as $\{f(x;\alpha_1),x<0; f(x;\alpha_2),x>=0 \}$, where $f(x;\alpha)=0.5x(tanh(\alpha x)+1),\alpha >0$. ULU treats positive and negative inputs…

机器学习 · 计算机科学 2025-08-08 Simin Huo

Recent research has found that the activation function (AF) selected for adding non-linearity into the output can have a big impact on how effectively deep learning networks perform. Developing activation functions that can adapt…

神经与进化计算 · 计算机科学 2023-06-06 Ashish Rajanand , Pradeep Singh

Deep networks are gradually penetrating almost every domain in our lives due to their amazing success. However, with substantive performance accuracy improvements comes the price of \emph{irreproducibility}. Two identical models, trained on…

机器学习 · 计算机科学 2020-12-02 Gil I. Shamir , Dong Lin , Lorenzo Coviello

A wide variety of activation functions have been proposed for neural networks. The Rectified Linear Unit (ReLU) is especially popular today. There are many practical reasons that motivate the use of the ReLU. This paper provides new…

机器学习 · 统计学 2020-10-19 Rahul Parhi , Robert D. Nowak

Deep neural networks, particularly those employing Rectified Linear Units (ReLU), are often perceived as complex, high-dimensional, non-linear systems. This complexity poses a significant challenge to understanding their internal learning…

机器学习 · 计算机科学 2025-11-11 Longqing Ye

Activation in deep neural networks is fundamental to achieving non-linear mappings. Traditional studies mainly focus on finding fixed activations for a particular set of learning tasks or model architectures. The research on flexible…

神经与进化计算 · 计算机科学 2020-08-20 Renlong Jie , Junbin Gao , Andrey Vasnev , Min-ngoc Tran

The Rectified Linear Unit (ReLU) is a foundational activation function in artficial neural networks. Recent literature frequently misattributes its origin to the 2018 (initial) version of this paper, which exclusively investigated ReLU at…

神经与进化计算 · 计算机科学 2026-04-15 Abien Fred Agarap

In recent years, deep neural networks (DNNs) achieved unprecedented performance in many low-level vision tasks. However, state-of-the-art results are typically achieved by very deep networks, which can reach tens of layers with tens of…

计算机视觉与模式识别 · 计算机科学 2018-03-28 Idan Kligvasser , Tamar Rott Shaham , Tomer Michaeli

Deep learning models are effective for sequential data modeling, yet commonly used activation functions such as ReLU, LeakyReLU, and PReLU often exhibit gradient instability when applied to noisy, non-stationary financial time series. This…

机器学习 · 计算机科学 2026-01-26 George Awiakye-Marfo , Elijah Agbosu , Victoria Mawuena Barns , Samuel Asante Gyamerah